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3 years ago

12. What is the equation of a circle with center (-7, -3) and radius 2?

Mathematics

1 answer:

Genrish500 [490]3 years ago

3 0

Answer:

(x + 7)^2 + (y + 3)^2 = 4

Step-by-step explanation:

The standard equation of a circle is:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center and r is the radius. We can substitute the information given to obtain:

(x + 7)^2 + (y + 3)^2 = 4

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Solve the system by substitution.<br>3x-6y=2<br>4x+3y=-1

crimeas [40]

Answer:

y = -1/3

x = 0

Step-by-step explanation:

3x-6y = 2 then 3x = 2+6y, x=(2+6y)/3

4x+3y = -1

substitute for x

4(2/3+2y)-6y = 2

8/3+8y-6y = 2

reduce

2y = 2-8/3

2y = -2/3

divide both sides by 2

y = -1/3

4x+3(-1/3) = -1

4x = 0

x = 0

8 0

2 years ago

(1+cos2x)/(1-cos2x) = cot^2x

sesenic [268]

We will turn the left side into the right side.

$\dfrac{1 + \cos 2x}{1 - \cos2x} = \cot^2 x$

Use the identity:

$\cos 2x = \cos^2 x - \sin^2 x$

$\dfrac{1 + \cos^2 x - \sin^2 x}{1 - ( \cos^2 x - \sin^2 x)} = \cot^2 x$

$\dfrac{1 - \sin^2 x + \cos^2 x }{1 - \cos^2 x + \sin^2 x} = \cot^2 x$

Now use the identity

$\sin^2 x + \cos^2 x = 1$ solved for sin^2 x and for cos^2 x.

$\dfrac{\cos^2 x + \cos^2 x }{\sin^2 x + \sin^2 x} = \cot^2 x$

$\dfrac{2\cos^2 x}{2\sin^2 x} = \cot^2 x$

$\dfrac{\cos^2 x}{\sin^2 x} = \cot^2 x$

$\cot^2 x = \cot^2 x$

8 0

3 years ago

Points have the following physical properties:

Murljashka [212]

Answer:

D. none

Step-by-step explanation:

The point in geometry is defined as the location.

Point A is described as the location of A on any given plane.

Point is represented as a dot.

A dot has no physical dimension like depth, height, thickness or size.

Hence, any two points can not be compared on the basis of any physical parameter.

3 0

3 years ago

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Whats the best expansion for (x+5a+5b)(x+a-b)

jeka57 [31]

Answer:

x² + 6ax + 4bx + 5a² - 5b²

Step-by-step explanation:

(x+5a+5b )(x+a-b)

x² +a x -bx +5ax + 5a² -5ab + 5bx + 5ab -5b²

x² + 6ax + 4bx + 5a² - 5b²

4 0

2 years ago

Natalie saved $20 when she purchased a new phone.The phone originally cost $125.What percent savings did Natalie receive on the

maw [93]

x 20
------ = -------
100 125

(The percentage x saved is equal to 20 out of 120) Cross multiply:
125x = 20(100)
125x = 2000
Divide both sides by 125
x = 16%

3 0

2 years ago

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